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x - y = 6

xy = 27

y = x - 6

xy = 27

x(x - 6) = 27

x2 - 6x = 27

x2 - 6x - 27 = 0

(x - 9)(x + 3) = 0

x - 9 = 0 or x + 3 = 0

x = 9 or x = -3

y = x - 6

y = 9 - 6 = 3

y = -3 - 6 = -9

Check!

Numbers are -3 and -9.

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15y ago

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